Major axis 12 units long and parallel to the y-axis, minor axis 8 units long, center at (-2,5)

Answers

Answer 1

Answer:

center is located at (-2,5) is:(x+2)^2 / 36 + (y-5)^2 / 64 = 1

The dimensions of the given ellipse are major axis 12 units long and parallel to the y-axis, minor axis 8 units long, and the center is located at (-2,5).Let us find the standard form equation of the ellipse. The standard form equation of an ellipse is given by:(x-h)^2 / a^2 + (y-k)^2 / b^2 = 1Where (h, k) is the center of the ellipse, a is the distance from the center to either the x-axis or the y-axis, and b is the distance from the center to the other axis. Therefore, for the given ellipse, the equation of the ellipse in standard form is:(x+2)^2 / 36 + (y-5)^2 / 64 = 1Thus, the standard form equation of the ellipse whose major axis is 12 units long and parallel to the y-axis, minor axis 8 units long, and center is located at (-2,5) is:(x+2)^2 / 36 + (y-5)^2 / 64 = 1.

Learn more about ellipse

brainly.com/question/19507943

#SPJ4

Related Questions

A flower bed is in the shape of a triangle, with a base of 15 feet and a height of 9 feet. What is the area of the flower bed?24 square feet 32.5 square feet 67.5 square feet 135 square feet
How do i do problems that have fractions and a negative or a zero exponent with it?
A certain animal in the zoo has consumed 39 pounds of food in six days. If it continues to eat at the same rate, in how many more days will its total consumption be 91 pounds?
Johnny opened a savings account 3 years ago. The account earns 7% interest, compounded continuously. If the current balance is $200.00, how much did he deposit initially? Round your answer to the nearest cent.
Find the measure of VYX.

11Select the correct answer.
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the
yavariable, and what is the solution for this system?
x + 3y - 42
2x-y-14
OA. Multiply the second equation by-3. The solution is x = 12. y - 9.
ов.
Multiply the second equation by-2. The solution is x-12. y = 10.
OC.
Multiply the second equation by 2. The solution is x - 15, y = 9.
OD
Multiply the second equation by 3. The solution is x - 12. = 10.
Reset
Next

Answers

Answer:

D. Multiply the second equation by 3. The solution is x = 12, y = 10

Step-by-step explanation:

Given:

x + 3y = 42 (first equation)

2x - y = 14 (second equation)

To solve by elimination, starting with elimination of the y-variable, multiply the second equation by 3 to get a third equation.

2x - y = 14 (2nd eqn.) × 3

6x - 3y = 42 (3rd equation)

Add the 3rd equation and the 1st equation together.

x + 3y = 42 (first equation)

6x - 3y = 42 (3rd equation)

7x = 84

7x/7 = 84/7

x = 12

To find y, substitute x = 12 in the first equation

x + 3y = 42 (first equation)

12 + 3y = 42

12 + 3y - 12 = 42 - 12

3y = 30

3y/3 = 30/3

y = 10

Solution is x = 12, y = 10

The ratio of boys to girls in a group is 7:2. If there are 65 more boys than girls, work out how many boys there are.

Answers

Answer:

91 boys

Step-by-step explanation:

Given that the ratio of boys to girls = 7 : 2 = 7x : 2x ( x is a multiplier )

There are 65 more boys than girls , thus

7x = 2x + 65 ( subtract 2x from both sides )

5x = 65 ( divide both sides by 5 )

x = 13

There are 7 × 13 = 91 boys in the group

低于当地人民：或立场上有一些事情了！儿女情长的好了吗我想做出

Using a directrix of y = 5 and a focus of (4, 1), what quadratic function is created?

Answers

Focus: ( 4, 1 )
Directrix: y = 5
The vertex is always half of a distance between the focus and the directrix.
The vertex must be at: ( 4, 3 ), h = 4, k = 3
|p| is the distance between the vertex and the directrix ( which is over the vertex and p is negative ). p = - 2
The equation:
( x - h )² = 4 p ( y - k )
( x - 4 )² = -8 ( y - 3 )

Algebra II : Radical Expressions. Instructions: Rationalize each denominator.

Answers

remember multiplying something by 1 doesn't change the value

also √x times √x=x

rationalize means get rid of the square root at thebottom

basically, if the bottom is x√n then multiply the whole fraction by (x√n)/(√n) to rationalize it, then simlify by finding ones

also remember the thingummy you need for problems 6, 9 and 10
(a-b)(a+b)=a^2-b^2

and remember
$\sqrt{ (x)/(y) } = ( √(x) )/( √(y) )$

1. $( √(3) )/( √(7) )$
multply by $( √(7) )/( √(7) )$
$( √(21) )/(7)$

2. $\sqrt{ (1)/(11) } = ( √(1) )/( √(11) )$ multply by $( √(11) )/( √(11) )$
$( √(11) )/(11)$

3. 2/(∛3)
multiply by (∛3)/(∛3)
(2∛3)/3

4. $\sqrt{ (14x)/(y^(2)) } = ( √(14x) )/( y√(5) )$ multply by $( √(5) )/( √(5) )$
$( √(70x) )/(5y)$

5. ∛(4/(9x^2))=(∛4)/(∛(9x^2))
multiply by (∛(9x^2))/(∛(9x^2))
(∛(36x^2))/(9x^2)

6. multiply top and bottom by (1+√3)/(1+√3)
(8+8√3)/(1^2-(√3)^2)=(8+8√3)/(1-3)=(8+8√3)/ (-2)=-4-4√3

7. so tired, answer is $\frac{6 \sqrt[3]{4xy^(2)} }{4x^(2)y^(2)}$

8. multiply tp and bottom by (√x-3)/(√x-3)
((-2√x)+6)/(x-9)

9. multiply by (√a+√b)/(√a+√b)
$(a+ √(ab) )/(a+b)$

10 multiply top an bottom by $( √(2)+ √(6) )/( √(2)+ √(6) )$
result
$(12+3 √(12) )/(-8)$

A 200-centimeter-long wire is cut into three peices. The second piece is three times as long as the first. The third piece is 2 times as long as the second. How long is each piece?

Answers

Assuming the value of the first piece is x, then the equation would be this:
x+3x+6x=200
Simplify, and you get:
10x=200
Solve for x:
x=20
So the first piece(x) was 20 cm long
The second piece(3x) was 60 cm long
The third piece(6x) was 120 cm long

Write the equation of the line that is parallel to the line whose equation is y = –4 and that passes through the point (1, 5).A. y=-5
B. y=-4
C. y=1
D. y=5

Answers

The equation of the line, y = -4, has a slope of 0. For lines to be parallel their slopes should be equal. Given the slope and a point, the equation of the line is generally expressed as,
y - y1 = m(x - x1)
Substituting gives the answer of,
y - 5 = 0 ; y = 5
The answer is letter D.

Other Questions

Need help solving this proportion....x\4 = 5\7

A number with two decimals places is multiplied by a whole number. The product has only two digits. How can you follow the correct procedure for placing the decimal point in the product.

Rewrite the equation 11 x - 5 x 2 + 7 = 6 in standard form and identify a, b, and c

if you assume that the observations in the sample are independent, what is the smallest value the sample size could be to meet the conditions for this hypothesis test?